7987967 has 8 divisors (see below), whose sum is σ = 8835456. Its totient is φ = 7173792.

The previous prime is 7987957. The next prime is 7988009. The reversal of 7987967 is 7697897.

It is a happy number.

7987967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7987967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7823 + ... + 8784.

It is an arithmetic number, because the mean of its divisors is an integer number (1104432).

Almost surely, 2^7987967 is an apocalyptic number.

7987967 is a deficient number, since it is larger than the sum of its proper divisors (847489).

7987967 is a wasteful number, since it uses less digits than its factorization.

7987967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657.

The product of its digits is 1333584, while the sum is 53.

The square root of 7987967 is about 2826.2991702932. The cubic root of 7987967 is about 199.8996746826.

The spelling of 7987967 in words is "seven million, nine hundred eighty-seven thousand, nine hundred sixty-seven".